I fail to see how the movies got this one right when movies are notorious for hyping up the large battle sequences and getting physics and reality wrong (but that's also part of the appeal to movies). And your other evidence is a faulty drawing of catapult trajectories.
And on another note:
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Originally Posted by TheAzn
As you have already known, 40,000 Mordorians is a very conservative number; heck even 80,000 is still considered to be a moderately conservative number. With this in mind, the Mordorians/Morgulians/Haradrims/etc. would have to be far closer to Minas Tirith than 7 miles.
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Well, 40,000 is the the low ball estimate, but 80,000 is at the very high end. The estimate for the Pelennor Fields is really 40-65 thousand. Sauron's force coming out of the Black Gate was 70,000 and I haven't seen a case to show his combined Pelennor Fields force would be greater. The movies 250,000 or whatever it was was again, the film business liking the large, epic battles.